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Decomposition of Impulse Responses Using Complex Wavelets

The application of the continuous wavelet transform, implemented with complex wavelets, to the decomposition of loudspeaker and room impulse responses is discussed. The wavelet transform possesses adaptive time–frequency resolution and is very well suited to the analysis of transient signals. It has the important property that significant signal information is concentrated on certain regions called ridges. Applications include separation of modal components with subsequent damping estimation and low-frequency coloration detection. Wavelets form filter banks and can be designed to have any desirable filter bandwidth. Wavelet filters are used for reverberation-time estimation. It is also suggested that complex wavelets might be used for envelope extraction and calculation of the instantaneous frequency and instantaneous spectral density of a signal.

JAES Volume 53 Issue 9 pp. 796-811; September 2005
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